Pascal’s TrianglePascal’s MatrixSummetor is an operator used in the mathematics to calculate the special numbers like binomial coefficients and combinations of group elements. It has many applications in algebra, matrices like calculation of pascal triangle elements and pascal matrix formation, etc....
Construction de trigèbres dendriformes - Novelli, Thibon () Citation Context ...96 120 1 10 60 240 600 720 Figure 3. The Pascal and Arr triangles. multiplying column i by i! in the Pascal triangle. Here are the first rows of both triangles: Again, the stalactic quotient of WQSym ...
Pascal’s triangle is extensively used in Probability to find the possible number of outcomes of a given situation. For instance, the number of combinations of heads or tails that are possible from the number of process can be obtained using a Pascal’s Triangle. The below table demonstrates...
Pascal's triangleKekulenoidWeiner indexIPR fullerenesA method of construction of a new class of trees with reciprocal pairs of eigenvalues (λ, 1/λ) has been developed. They are derived from star graphs and can be symbolized as K 1, n 1 + n(p) + mK 2 (1 ≤ m ≤ n 1 except ...
These matrices are parameterized by positive integers $L$ and $n$ and a prime power $q$. Based on Pascal's triangle we give an explicit construction of universally decodable matrices for any non-zero integers $L$ and $n$ and any prime power $q$ where $L \\leq q+1$. This is the ...
SceneNN [56] holds comparable content, but the scenes are reconstructed into triangle meshes and possess per-vertex and per-pixel annotation. One of the most impactful 3D datasets in the indoor domain with point-wise semantic class annotations available is ScanNetV2 [62], now in its second ...